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2233132211024 = 2411132203443041
BaseRepresentation
bin100000011111110001000…
…011010101101101010000
321220111002211020020121022
4200133301003111231100
5243041423321223044
64425515313215012
7320224045413341
oct40376103255520
97814084206538
102233132211024
1179107aa08570
12300967561468
13132777b40b30
147a126d9a0c8
153d1500383ee
hex207f10d5b50

2233132211024 has 80 divisors (see below), whose sum is σ = 5085427470144. Its totient is φ = 936551116800.

The previous prime is 2233132211003. The next prime is 2233132211033. The reversal of 2233132211024 is 4201122313322.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2233132210984 and 2233132211002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4818944 + ... + 5261984.

Almost surely, 22233132211024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233132211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542713735072).

2233132211024 is an abundant number, since it is smaller than the sum of its proper divisors (2852295259120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2233132211024 is a wasteful number, since it uses less digits than its factorization.

2233132211024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445276 (or 445270 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 2233132211024 its reverse (4201122313322), we get a palindrome (6434254524346).

The spelling of 2233132211024 in words is "two trillion, two hundred thirty-three billion, one hundred thirty-two million, two hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2203 2288 4406 8812 17624 24233 28639 35248 48466 57278 96932 114556 193864 229112 315029 387728 443041 458224 630058 886082 1260116 1772164 2520232 3544328 4873451 5040464 5759533 7088656 9746902 11519066 19493804 23038132 38987608 46076264 63354863 77975216 92152528 126709726 253419452 506838904 976019323 1013677808 1952038646 3904077292 7808154584 10736212553 12688251199 15616309168 21472425106 25376502398 42944850212 50753004796 85889700424 101506009592 139570763189 171779400848 203012019184 279141526378 558283052756 1116566105512 2233132211024